Question

Differentiate function

Answer 1

D

Explanation:

when differentiated, +7 will just become 0 (since 7 is a constant - it is with no x, x², etc)

f(x) = y = e^2x² = e^2u, where u = x².

if y = e^2u, dy/du = 2e^2u.

if u = x², du/dx = 2x.

du/dx = 2x.

using the chain rule:

dy/dx = dy/du X du/dx

= 2e^2u X 2x

= 4xe^2u

= 4xe^2x² (option D)